Given the geometric sequence where a1 = 5 and the common ratio is −3, what is the domain for n?

All integers where n ≥ 0


All integers where n ≥ 1


All integers where n ≥ 5


All integers where ≤ 5

Verified Answer :

Answer:

Hence, All integers where n ≥ 1

Option 2 is correct.

Step-by-step explanation:

Given: The geometric sequence

where, a1 = a = 5 and the common ratio (r) = −3

Now we will find the general term of Geometric sequence.

\(a_n=ar^{n-1}\)

\(a_n=5(-3)^{n-1}\)

Now we write as function,

\(f(n)=5(-3)^{n-1}\)

f(1)=5

For n=1,

Geometric series start from n=1

Therefore, Domain: n≥1

Hence, All integers where n ≥ 1

Answer:

Al integers where n≥1

Step-by-step explanation:

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